Precalculus: Mathematics for Calculus 6th Edition - Solutions by Chapter

The function y = csc-1 x

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

See Numerical derivative of ƒ at x = a.

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

tan ?= sin ?cos ?and cot ?= cos ? sin ?

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

x, y and (-x,-y) are reflections of each other through the origin.

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Set of all possible outcomes of an experiment.

A real number.

A value of the variable (or values of the variables) for which the equation or inequality is true

Methods for solving systems of linear equations.

The magnitude of the velocity vector, given by distance/time.

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

An expression of the form anxn in a polynomial (function).

r(cos ? + i sin ?)

The points where a hyperbola intersects the line containing its foci.